%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN064+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:07:06 PM UTC 2025 % Result : Theorem 3.54s 3.78s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : SYN064+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.15 % Command : duper %s % 0.15/0.37 % Computer : n010.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Thu Oct 2 15:24:08 EDT 2025 % 0.15/0.37 % CPUTime : % 3.54/3.78 SZS status Theorem for theBenchmark.p % 3.54/3.78 SZS output start Proof for theBenchmark.p % 3.54/3.78 Clause #0 (by assumption #[]): Eq (Not (Exists fun X => Exists fun Y => big_p X Y → ∀ (Z W : Iota), big_p Z W)) True % 3.54/3.78 Clause #1 (by clausification #[0]): Eq (Exists fun X => Exists fun Y => big_p X Y → ∀ (Z W : Iota), big_p Z W) False % 3.54/3.78 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Exists fun Y => big_p a Y → ∀ (Z W : Iota), big_p Z W) False % 3.54/3.78 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), Eq (big_p a a_1 → ∀ (Z W : Iota), big_p Z W) False % 3.54/3.78 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (big_p a a_1) True % 3.54/3.78 Clause #5 (by clausification #[3]): Eq (∀ (Z W : Iota), big_p Z W) False % 3.54/3.78 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (∀ (W : Iota), big_p (skS.0 0 a) W)) True % 3.54/3.78 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (W : Iota), big_p (skS.0 0 a) W) False % 3.54/3.78 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (Not (big_p (skS.0 0 a) (skS.0 1 a a_1))) True % 3.54/3.78 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (big_p (skS.0 0 a) (skS.0 1 a a_1)) False % 3.54/3.78 Clause #10 (by superposition #[9, 4]): Eq False True % 3.54/3.78 Clause #11 (by clausification #[10]): False % 3.54/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------